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Q.

If P represents radiation pressure, C speed of light, and Q radiation energy striking unit area per second and x,y,z are non zero integers, then Px Qy Cz is dimensionless. The values of x,y and z are respectively

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a

1,1,-1

b

1,-1,1

c

-1,1,1

d

1,1,1

answer is B.

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Detailed Solution

PxQycz=M0L0T0p=ML1T2;c=LT1;Q=MT3ML1T2xML3yLT1z=M0L0T0Mx+yLx+zT2x3yz=M0L0T0x+y=0y=xx+z=0x=z2x3yz=0
if as x, y, z ar non zero the equation are satisfied when
x=1 ; y=-1 ; z=1

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If P represents radiation pressure, C speed of light, and Q radiation energy striking unit area per second and x,y,z are non zero integers, then Px Qy Cz is dimensionless. The values of x,y and z are respectively